On a conjecture concerning total domination subdivision number in graphs

DOI10.1080/09728600.2021.1985386zbMath1483.05122OpenAlexW3214186758WikidataQ113850435 ScholiaQ113850435MaRDI QIDQ5861703

Saeed Kosari, Zehui Shao, Guoliang Hao, Hossein Karami, Rana Khoeilar, Seyyed Mahmoud Sheikholeslami

Publication date: 2 March 2022

Published in: AKCE International Journal of Graphs and Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/09728600.2021.1985386

zbMATH Keywords

claw-free graphstotal dominationtotal domination subdivision number

Mathematics Subject Classification ID

Vertex subsets with special properties (dominating sets, independent sets, cliques, etc.) (05C69)

Cites Work

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• On the total domination subdivision number in some classes of graphs
• On the total domination subdivision numbers in graphs
• Bounding the total domination subdivision number of a graph in terms of its order
• A new bound on the total domination subdivision number
• Total domination subdivision numbers of trees
• On two conjectures concerning total domination subdivision number in graphs
• Matchings and total domination subdivision number in graphs with few induced 4-cycles
• Total domination subdivision numbers of graphs

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